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Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 11/2012, Volume 17, Issue 11, pp. 4097 - 4103
► A new approach based on the homotopy analysis method is adopted for the Thomas–Fermi equation. ► Fast convergence and better accuracy is obtained by... 
Thomas–Fermi equation | Computational cost | Analytic solution | Padé approximant | Homotopy analysis method | Thomas-Fermi equation | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PHYSICS, FLUIDS & PLASMAS | 2-DIMENSIONAL VISCOUS-FLOW | APPROXIMATE SOLUTION | PHYSICS, MATHEMATICAL | Pade approximant
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2008, Volume 212, Issue 2, pp. 231 - 244
In this paper, an iterative method is constructed to solve the linear matrix equation AXB = C over skew-symmetric matrix X. By the iterative method, the... 
Skew-symmetric solution | Iterative method | Least-norm skew-symmetric solution | Optimal approximate solution
Journal Article
Journal of Hydrology, ISSN 0022-1694, 09/2017, Volume 552, pp. 544 - 553
•Improved approximate solution for dynamic erosion to describe first flush effect.•The solution converges to the steady state solution in the long run.•Average... 
GUEST | Dynamic soil erosion processes | Overland flow | Approximate solution | SEDIMENT TRANSPORT | SHEET FLOW | EQUATIONS | 1ST FLUSH | WATER RESOURCES | WATER EROSION | MODEL | HIGHWAY RUNOFF | ENGINEERING, CIVIL | GEOSCIENCES, MULTIDISCIPLINARY | OVERLAND-FLOW | SOIL-EROSION | RAINFALL IMPACT | Runoff | Sediments (Geology) | Soil erosion
Journal Article
International Journal of Computer Mathematics, ISSN 0020-7160, 04/2019, Volume 96, Issue 4, pp. 729 - 752
Let ( ), let with closed range. In this paper, utilizing the gap between closed subspaces and the perturbation bounds of metric projections, we present some... 
Primary: 47A05 | Metric generalized inverse | Secondary: 46B20 | perturbation | best approximate solution | Subspaces | Generalized inverse | Ill-posed problems (mathematics)
Journal Article
International Journal of Robust and Nonlinear Control, ISSN 1049-8923, 09/2012, Volume 22, Issue 13, pp. 1460 - 1483
Journal Article
Information Sciences, ISSN 0020-0255, 12/2017, Volume 418-419, pp. 184 - 185
Gong et al. (Information Sciences 266 (2014) 112–133) proposed a method of solving dual fuzzy matrix equations. The aim of this note is to make the researchers... 
Fuzzy numbers | Dual fuzzy matrix equations | Fuzzy approximate solutions | COMPUTER SCIENCE, INFORMATION SYSTEMS
Journal Article
Physics Letters A, ISSN 0375-9601, 2001, Volume 285, Issue 5, pp. 355 - 362
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2006, Volume 177, Issue 2, pp. 488 - 494
The aim of the present analysis is to apply Adomian decomposition method for the solution of a time-fractional Navier–Stokes equation in a tube. By using an... 
Navier–Stokes equations | Caputo fractional derivative | Decomposition method | Navier-Stokes equations | APPROXIMATE SOLUTIONS | MATHEMATICS, APPLIED | decomposition method | DIFFERENTIAL-EQUATIONS | CONVERGENCE | Fluid dynamics | Methods
Journal Article
International Journal of Modern Physics C, ISSN 0129-1831, 12/2018, Volume 29, Issue 12, p. 1850122
In this work, a nonlinear finite-difference scheme is provided to approximate the solutions of a hyperbolic generalization of the Burgers–Fisher equation from... 
finite-difference method | Hyperbolic Burgers-Fisher equation | monotonicity | nonlinear discretization | positivity and boundedness | traveling-wave solutions | STOPPING TIME | EXPONENTIAL METHOD | MODEL | PHYSICS, MATHEMATICAL | SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | APPROXIMATE | PRESERVING METHOD | WAVE-EQUATIONS
Journal Article
Composite Structures, ISSN 0263-8223, 01/2016, Volume 135, pp. 74 - 82
In this work an approximate analytical solution based on the Mori–Tanaka method for functionally graded thick-walled tube subjected to internal pressure is... 
The Mori–Tanaka method | Approximate analytical solution | The Reuss method | The Voigt method | Functionally graded material | Thick-walled tube | The Mori-Tanaka method | MECHANICS | VESSELS | HOLLOW CYLINDERS | MATERIALS SCIENCE, COMPOSITES | ELASTIC ANALYSIS | STRESSES | Mechanical engineering | Methods
Journal Article
Optik - International Journal for Light and Electron Optics, ISSN 0030-4026, 02/2017, Volume 130, pp. 696 - 701
In this work, new exact solutions for nonlinear fractional DR equation and fractional approximate long water wave equation are obtained within the modified... 
Fractional approximate long water wave equation | Fractional DR equation | (G′/G)-expansion method | Exact solution | (G '/G)-expansion method | TRAVELING-WAVE SOLUTIONS | 1ST INTEGRAL METHOD | OPTICS | International trade | Methods | Differential equations
Journal Article